Consider a vector of parameters \(\vec{x}=(x_{0},x_{1},...,x_{a},...)^{\mathrm {T}}\)  with \(x_{a}\) 
the \(a\) th parameter. \(\vec{x}\)  is encoded in the density matrix \(\rho =\rho (\vec{x})\) . In the
entire paper we denote the QFIM as \(\mathcal {F}\) , and an entry of \(\mathcal {F}\)  is
defined as [1]}, [2]}
\(\mathcal {F}_{ab}:=\frac{1}{2}\mathrm {Tr}\left(\rho \lbrace L_{a},L_{b}\rbrace \right), \) 
